Complete question is;
Keisha needs to make at least 32 costumes for the school play. Since she can make 4 costumes each week, Keisha plans to work on the costumes for at least 8 weeks.
Which inequality matches the problem?
A) x ≥ 8
B) x = 8
C) x ≤ 8
D) none of the above
Answer:
A: x ≥ 8
Step-by-step explanation:
Let the number of weeks be x.
She needs to make at least 32 costumes and plans to work at least 8 weeks. Since she makes 4 costumes per week, we can say that;
4x ≥ 32
I used greater than or equal to sign because she can't make less than 32 costumes.
Also, she can't use less than 8 weeks.
Thus; dividing both sides by 4, we have;
4x/4 ≥ 32/4
x ≥ 8
Answer:
C. Either positive or negative
Answer:
Step-by-step explanation:
Mathematically, we can calculate the slope
using the formula below;
m = (y2-y1)/(x2-x1)
Where (x1.y1) = (6,-8)
(x2, y2) = (3,-4)
So inputing these values into the formula, we have
m = (-4-(-8))/(3-6)
m = (-4+8)/-3 = 4/-3 = -4/3
Now, we want to write the equation of the line;
y= -4/3x + c
to get the value of c, we simply need to use any of the points. We use any of the two points by substituting the values of x and y at that point.
Let’s use (3,-4)
That would give ;
-4 = -4/3(3) + c
-4 = -4 + c
This means c = 0
Thus the equation of the line is y = -4/3x
Now to find out if the point (-3,4) is on the line
We only need to substitute the values of x and y here and see ;
Thus;
4 = -4/3(-3)
Sine 4 = 4
We can conclude that the point is on the line in question
Answer:
1) 
2) 
Step-by-step explanation:
Given : A number cube with faces labeled from 1 to 6 will be rolled once. The number rolled will be recorded as the outcome.
To find : Give the sample space describing all possible outcomes. Then give all of the outcomes for the event of rolling an odd number. If there is more than one element in the set, separate them with commas ?
Solution :
A number cube with faces labeled from 1 to 6 will be rolled once.
The sample space describing all possible outcomes is given by
All of the outcomes for the event of rolling an odd number is given by
Answer:
Step-by-step explanation:
L1 -x + 2y = -1
L2 5x - 10y = 6
-x + 2y = - 1 multiply by -1
x - 2y = 1 multiply by 5
5x - 10y = 5 is similar that 5x - 10y = 6
The system has no solution
